2000 Texas Partial Differential Equations Seminar
University of Texas at Austin

Satruday March 25, 2000 (In order of presentation)
• John W. Neuberger, Univ. of North Texas, A generator/resolvent theory for jointly continuous nonlinear semigroups on a separable metric space.
• J. A. Carrillo, Univ. of Texas at Austin, Asymptotic behavior for nonlinear degenerate parabolic equations.
• Ahmad Qawasmi, Univ. of Houston , Regularity for the Hodge_Weyl decomposition.
• M. Peszynska, Univ. of Texas at Austin, Mathematical issues in the coupling of single phase flow and two-phase flow models.
• Stephen J. Watson, Lousiana State Univ., The compressible Navier-Stokes equation for the p'th power gas law.
• David Wagner, Univ. of Houston, Symmetric hyperbolic equations of motion for a hyperlastic material.
• Karen Uhlenbeck, Univ. of Texas at Austin, The geometric non-linear Schroedinger equation.
• Goong Chen, Texas A&M Univ., Continuous-time version of Grover's algorithm on multi-object search in quantum computation.
• Jianxin Zhou, Texas A&M Univ., Instability indices of multiple solutions.
• Alfonso Castro, Univ. of Texas at San Antonio, A sign-changing solution for a superlinear Dirichlet problem.
• Jorge Cossio, Univ. of Texas at San Antonio & Univ. Nacional de Colombia, A non-radial sign-changing solution for a semilinear elliptic problem.
• Charles Radin, Univ. of Texas at Austin, Ground states of many-particle systems.
• Maria Varela, Universidad de Buenos Aires, Minimization of energy functionals associated to different kind of gauges.
• Fengxin Chen, Univ. of Texas at San Antonio, Almost periodic traveling waves of nonlocal evolution equations.
• Weiming Cao, Univ. of Texas at San Antonio, Explicit formula for vorticity boundary values of Stokes equations in circular regions.
• Dung Le, Univ. of Texas at San Antonio, On a time dependent Chemotaxis system.
• Qingbo Huang, Univ. of Texas at Austin, W^{2,p} estimate for a parabolic Monge-Ampere equation.
• Irene Gamba, Univ. of Texas at Austin, Positive solutions to singular equations for quantum fluid models.

Sunday March 26, 1998.
• Katarzyna Saxton, Loyola Univ., New Orleans, Large-Time behavior of solutions to quasilinear hyperbolic equations with nonlinear damping.
• Ralph Saxton, Univ. of New Orleans, The Proudman-Johnson equation.
• Meijun Zhu, The Univ. of Oklahoma, Enlarging domain method for classification of positive solutions in a half space.
• Ruediger Landes, Univ. of Oklahoma, Some problems with boiling.
• John Albert, Univ. of Oklahoma, Comparison between solutions of a Boussinesq system and the Korteweg-de Vries equation.
• E.O. Tuck, The Univ. of Adelaide, A generalisation of the Benjamin-Ono equation.
• Jerry Bona, Univ. of Texas at Austin, Decay and analyticity of solitary waves.
• Steven D. London, Univ. of Houston-Downtown, Uniform asymptotic approximation for sesistive instability in the earth's outer core.
• Eun Heui Kim, Univ. of Houston, Free boundary problems for the unsteady transonic small disturbance Equation, Transonic Regular Reflection.
• Christopher Winfield, Lamar Univ., Further analysis of the Lippmann-Schwinger rquation.
• William Rundell, Texas A&M Univ., An Inverse spectral problem arising in helioseismology.
• Jiahong Wu, Univ. of Texas at Austin, Zero-dissipation limit of the Navier-Stokes equations.
• Henrik Kalisch, Univ. of Texas at Austin, Some numerical results in the modeling of internal waves.
• Cristina Mariani, Universidad de Buenos Aires, Periodic solutions of the forced pendulum equation with friction.
• Leon Vardapetyan, Univ. of Texas at Austin, Full-wave analysis of waveguides at Low numerical frequencies.
• Bahareh Momken, Univ. of Texas at Austin, Diffusion in elastic multi-porous media.
• Jichun Li, Center for Subsurface Modeling, TICAM, Convergence and superconvergence analysis of finite element methods on highly nonuniform anisotropic meshes for singularly perturbed problems.